'I have had that experience'
'I have experienced that'
mean the same thing? Can they be used interchangeably?
Or are they two different things?
Person 1: Have you ever dated a female cop?
Person 2: Nope
Person 1: I have had that experience / I've experienced that
I've had that experience implies that person 1 was dating a cop at sometime in the past. When is not important. The present relevance of his past experience is what matters (he knows what it's like to date a cop and the sequel of events that one has to go through when dating a cop).
I've experienced that is not even a likely response in this context as far as I think
Experience as a noun means "practical contact with a sequel of events." But as a verb, it means "to go through a situation." So I've had that experience implies that the experience wasn’t, perhaps, a pleasant one. But with I've experienced that there's no such implication.
In this case, I've experienced that is not a likely response because one could normally say "I have done that.” Present perfect is also used for past experience, so there's no need of saying, "I've experienced that,” whereas "I've had that experience" has some nuance.